Abstract:

Heat transfer in hydrodynamically-developed flow in
asymmetrically-heated channels and annuli has been studied
extensively. This study is an extension of earlier work where
heat transfer in an asymmetrically-heated parallel-plate channel
was examined in a resistor-network framework. It was shown
that the formulation of the problem in terms of a delta thermalresistor
network has several advantages. A delta network can
also be used to represent heat transfer in asymmetrically-heated
annuli. Nevertheless, the evaluation of the three paired
convective resistances that characterize the network is not
straightforward. In the present paper, a new technique based on
solutions of the energy equation with perturbed boundary
conditions is proposed. The proposed technique is first verified
by comparison with the results previously obtained for the
parallel-plate channel problem. A superposition solution to the
energy equation is obtained for hydrodynamically-developed
laminar flow in an asymmetrically-heated annulus. The
developed technique is then applied to the annulus problem to
obtain the corresponding resistances. Results are validated by
examining limiting cases.

Description:

Papers presented to the 12th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Costa de Sol, Spain on 11-13 July 2016.